Algebraic reynolds stress model (ARSM) for compressible shear flows

We develop an algebraic Reynolds stress model (ARSM) for high-speed compressible shear flows and perform mixing-layer calculations to examine its validity. Starting from a rapid pressure-strain correlation model that incorporates compressibility effects, the weak- equilibrium assumption is invoked to derive the ARSM closure expression. The resulting closure is fully explicit and realizable, and is a function of mean flow strain rate, rotation rate, turbulent kinetic energy, dissipation rate and gradient Mach number. The model is incorporated into a commercial solver using UDFs (user defined functions). Calculations of a plane supersonic mixing layer are performed and comparison with the experimental data of Goebel and Dutton1 shows reasonable agreement. The salient results are agreement of similarity profiles, mixing-layer spreading rates and capturing the Langley2 curve trend. 2011 by Sharath S. Girimaji.

Algebraic reynolds stress model (ARSM) for compressible shear flows Conference Paper